MATHS, POPULAR MATHS, ENGLISH

Topics: MATHS, POPULAR MATHS, ENGLISH

ACTIVITY MATHS, MATHS PROJECTS

Topics: ACTIVITY MATHS, MATHS PROJECTS

109
109

Nov 14, 2013
11/13

by
Ben Simons

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Partition Function of ideal (Non-Interacting) Gas of Quantum Particles Useful for �normalisation� of interacting theories

Topic: Maths

Source: http://www.flooved.com/reader/3055

160
160

Nov 14, 2013
11/13

by
Igor Vilfan

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In this Chapter we will discuss models that can be described by classical statistical mechanics. We will concentrate on the classical spin models which are used notonly to study magnetism but are valid also for other systems like binary alloys or lattice gases.

Topic: Maths

Source: http://www.flooved.com/reader/2955

163
163

Nov 14, 2013
11/13

by
Peter Ouwehand

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Topic: Maths

Source: http://www.flooved.com/reader/3379

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136

Nov 14, 2013
11/13

by
Jared Speck

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We will be studying functions u = u(x^1, x^2, � � � , x^n) and their partial derivatives. Here x^1, x^2, � � � , x^n are standard Cartesian coordinates on Rn. We sometimes use the alternate notation u(x, y), u(x, y, z),etc. We also write e.g. u(r, _, _) for spherical coordinates on R3, etc. We sometimes also have a �time� coordinate t, in which case t, x1, � � � , xn denotes standard Cartesian coordinates on R^(1+n). We also use the alternate notation...

Topic: Maths

Source: http://www.flooved.com/reader/1599

170
170

Nov 14, 2013
11/13

by
Thomas Ward

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Objectives: (1) Deeper understanding of basic properties of sequences: sandwich theorem, nested interval theorem. (2) Axiom of completeness is equivalent to the statement �every bounded non�increasing sequence converges�.(3) An overview of the problems arising in trying to do �calculus�. (4) Precise de�nition of continuity, and how it accords with intuitive ideas.

Topic: Maths

Source: http://www.flooved.com/reader/3404

176
176

Nov 14, 2013
11/13

by
Mr. Travis Byington;Lawrence Evans;Mr. Ryan Magee;Hao Zhang

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We begin our discussion with magnetic �elds that are static, i.e., independent of time. The �eld is de�ned by its effect on a moving point charge. Then we discuss steady currents as sources of magnetic �elds, exploring some useful and important special con�gurations of currents. Later on we will discuss another important source of magnetic �elds, an electric �eld that is changing with time.

Topic: Maths

Source: http://www.flooved.com/reader/2912

158
158

Nov 14, 2013
11/13

by
Lawrence Evans;Mr. J. Edward Ladenburger

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Rigid bodies To a good approximation, a solid object behaves like a perfectly rigid body, in which each particle maintains a �xed spatial relationship to the other particles. This is an approximation, because in a real object the atoms actually oscillate about their average "equilibrium" positions in thermal motions. Here we will ignore these oscillations. The motion of a rigid body, like that of any system of particles, consists of two parts: motion of the CM and motion relative to...

Topic: Maths

Source: http://www.flooved.com/reader/2893

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83

Nov 14, 2013
11/13

by
Emma Carberry

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Topic: Maths

Source: http://www.flooved.com/reader/1108

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157

Nov 14, 2013
11/13

by
Peter Dourmashkin

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So far we have analyzed the motion of point-like bodies under the action of forces using Newton�s Laws of Motion. We shall now introduce the Principle of Conservation of Energy to study the changes in energy of a system between an initial state and final state. In particular we shall introduce the concept of potential energy to describe the effect of conservative internal forces acting on the constituent components of a system.

Topic: Maths

Source: http://www.flooved.com/reader/3293

249
249

Nov 14, 2013
11/13

by
Paul Tod;Lionel Mason

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Introduction: The solution of problems in most parts of applied mathematics and some areas of pure can more often than not be reduced to the problem solving some di_erential equations. Furthermore, many parts of pure maths were originally motivated by issues arising from di_erential equations, including large parts of algebra and much of analysis. From Mods, and even from school, you now know how to solve some di_erential equations. In this course, we shall learn to solve a much larger variety...

Topic: Maths

Source: http://www.flooved.com/reader/1847

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731

Nov 14, 2013
11/13

by
Richard Fitzpatrick

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These lecture notes are designed to accompany a lower-division college survey course covering electricity, magnetism, and optics. Students are expected to be familiar with calculus and elementary mechanics.

Topic: Maths

Source: http://www.flooved.com/reader/2861

415
415

Nov 14, 2013
11/13

by
Igor Vilfan

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The lectures cover classical and quantum statistical mechanics with some emphasis on classical spin systems. I give also an introduction to Bose condensation and super�uidity but I do not discuss phenomena speci�c to Fermi particles, being covered by other lecturers.

Topic: Maths

Source: http://www.flooved.com/reader/3275

169
169

Nov 14, 2013
11/13

by
Vladan Vuletic

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To develop some more insight into interference, and the correlations between quantum system and (classical) apparatus that lie at the heart of the quantum measurement problem, we will postulate rules on how the interference pattern is formed, and how photon scattering changes the electron�s wavefunction.

Topic: Maths

Source: http://www.flooved.com/reader/3101

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Nov 14, 2013
11/13

by
Peter Ouwehand

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These notes began as notes for a course called �Computability and Mathematical Linguistics� taught at McGill University for about 25 years, beginning in 1974. It was quite successful, but after Professor Lambek and I retired, there was no one who was su_ciently interested in teaching the course as designed and it eventually disappeared. There was a proposal to add quite a bit of logic to the notes and publish it jointly with Phil Scottand me, but this project never much went beyond putting...

Topic: Maths

Source: http://www.flooved.com/reader/3382

127
127

Nov 14, 2013
11/13

by
Fredrik Jonsson

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In this lecture, the electric polarisation density of the medium is �nally inserted into Maxwell�sequations, and the wave propagation properties of electromagnetic waves in nonlinear optical media is for the �rst time in this course analysed. As an example of wave propagation in nonlinear optical media, the optical Kerr e_ect is analysed for in�nite plane continuous waves.The outline for this lecture is:� Maxwells equations (general electromagnetic wave propagation)� Time dependent...

Topic: Maths

Source: http://www.flooved.com/reader/2981

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117

Nov 14, 2013
11/13

by
Albert R. Meyer

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An indicator random variable is a random variable that maps every outcome to either 0 or 1. Indicator random variables are also called Bernoulli variables.

Topic: Maths

Source: http://www.flooved.com/reader/1765

ebook mathms.

favoritefavoritefavoritefavoritefavorite ( 2 reviews )

Topic: maths

94
94

Nov 14, 2013
11/13

by
Katrin Wehrheim

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The idea is, a real number is a sequence of rational ap_proximations. But we have to be careful since, as we saw above, very different sequences of rational numbers can equally well approximate the same real number. To take care of this ambiguity, we will have to de�ne real numbers as sets of rational approximating sequences, all with the same tail behaviour. To make this precise, the following section contains precise de�nitions and some theorems which we will need to set out the formal...

Topic: Maths

Source: http://www.flooved.com/reader/1272

68
68

Nov 14, 2013
11/13

by
Jerry Griffiths

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In this chapter we will consider only vacuum solutions. This will enable us to continue to concentrate on the collision of gravitational waves. Various techniques will be discussed here, and the main solutions that have been obtained using them will be described in the next chapter. Many techniques are also known by which solutions of the Einstein�Maxwell equations, and other non-vacuum solutions, can be generated from known vacuum solutions. These will be discussed later in Chap-ter 15.

Topic: Maths

Source: http://www.flooved.com/reader/2786

163
163

Nov 14, 2013
11/13

by
Nikos Drakos

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Topic: Maths

Source: http://www.flooved.com/reader/3254

MATHS ALIVE, POPULAR MATHS

Topics: MATHS ALIVE, POPULAR MATHS

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76

Nov 14, 2013
11/13

by
Jerry Griffiths

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The subject to be discussed in this book is the collision and interaction of gravitational and electromagnetic waves. This is a particularly importanttopic in general relativity since the theory predicts that there will be a non-linear interaction between such waves. The e_ect of the non-linearity, however, is unclear. It is appropriate therefore to look in some detail at the simplest possible situation in which the e_ect of the non-linearity will be manifest: namely the interaction between...

Topic: Maths

Source: http://www.flooved.com/reader/2783

355
355

Nov 14, 2013
11/13

by
John W. Norbury

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Chapter 1. Lagrangian Field Theory 1.1 Units. We start with the most basic thing of all, namely units and concentrate on the units most widely used in particle physics and quantum �eld theory (natural units). We also mention the units used in General Relativity, because these days it is likely that students will study this subject as well.

Topic: Maths

Source: http://www.flooved.com/reader/3070

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84

Nov 14, 2013
11/13

by
Vera Mikyoung Hur

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We study linear systems of n �rst-order differential equations. They are related to �rst-order matrix differential equations. When the corresponding matrix is constant, then the eigenvalues and the eigenfunctions of the matrix provide a useful framework to construct the general solution. The fundamental matrix is constructed as the exponential matrix.

Topic: Maths

Source: http://www.flooved.com/reader/1564

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192

Nov 14, 2013
11/13

by
David Tong

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We start this course by exploring the framework of Newtonian mechanics, understanding the axioms and what they have to tell us about the way the Universe works. We then move on to look at a number of forces that are at play in the world. Nature is kind and the list is surprisingly short. Moreover, many of forces that arise have special properties, from which we will see new concepts emerging such as energy and conservation principles. Finally, for each of these forces, we turn the mathematical...

Topic: Maths

Source: http://www.flooved.com/reader/2816

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148

Nov 14, 2013
11/13

by
Nikos Drakos

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These notes cover the development of the current scienti�c concepts of space and time through history, emphasizing the newest developments and ideas.The presentation will be non-mathematical: the concepts will be introduced and explained, but no real calculations will be performed. The various concepts will be introduced in a historical order (whenever possible), this provides a measure of understanding as to how the ideas on which the modern theory of space and time is based were developed....

Topic: Maths

Source: http://www.flooved.com/reader/2866

156
156

Nov 14, 2013
11/13

by
David Tong

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The purpose of this section is to lay down the foundations of kinetic theory, starting from the Hamiltonian description of 10^23 particles, and ending with the Navier-Stokes equation of �uid dynamics. Our main tool in this task will be the Boltzmann equation.This will allow us to provide derivations of the transport properties that we sketched in the previous section, but without the more egregious inconsistencies that crept into our previous derivaion. But, perhaps more importantly, the...

Topic: Maths

Source: http://www.flooved.com/reader/2943

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Nov 14, 2013
11/13

by
James S. Milne

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An algebraic number �eld is a �nite extension of Q; an algebraic number is an element of an algebraic number �eld. Algebraic number theory studies the arithmetic of algebraic number �elds � the ring of integers in the number �eld, the ideals and units in the ring of integers, the extent to which unique factorization holds, and so on. An abelian extension of a �eld is a Galois extension of the �eld with abelian Galois group. Class �eld theory describes the abelian extensions of...

Topic: Maths

Source: http://www.flooved.com/reader/3402

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438

Nov 14, 2013
11/13

by
Eric Poisson

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Topic: Maths

Source: http://www.flooved.com/reader/3127

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95

Nov 14, 2013
11/13

by
Dmitry Panchenko

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Topic: Maths

Source: http://www.flooved.com/reader/1029

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101

Nov 14, 2013
11/13

by
Jared Speck

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The Fourier transform is a �continuous� version of the formula (1.0.1) for functions de�ned on the whole space R^n. Our goal is to write functions f de�ned on R^n as a superposition of di_erent frequencies. However, instead of discrete frequencies m, we will need to use �continuous frequencies�

Topic: Maths

Source: http://www.flooved.com/reader/1606

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86

Nov 14, 2013
11/13

by
Jerry Griffiths

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The colliding wave problem has been described in terms of two approaching waves in regions II and III, in a background region I, which is here taken to be �at. According to the work of Penrose (1980), the initial data are well set, so that a unique solution exists in the interaction region IV at least in the neighbourhood of the boundaries of regions II and III. It is therefore necessary �rst to state the relevant �eld equations in the interaction region, and then to attempt to solve them...

Topic: Maths

Source: http://www.flooved.com/reader/2801

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93

Nov 14, 2013
11/13

by
Jerry Griffiths

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It is appropriate at the conclusion of this work to make some attempt to summarize the main results that have been obtained, and to point out some areas that still need further clari�cation.

Topic: Maths

Source: http://www.flooved.com/reader/2797

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92

Nov 14, 2013
11/13

by
Jerry Griffiths

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This chapter is a continuation of the review of all presently known exact solutions which describe the collision of plane electromagnetic waves, or a combination of both gravitational and electromagnetic waves. Attention is concentrated here only on diagonal solutions. These solutions may be considered as a generalization of the solutions representing the collision of gravitational waves with colinear aligned polarization that have been described in Chapter 10. It may be mentioned that the...

Topic: Maths

Source: http://www.flooved.com/reader/2792

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308

Nov 14, 2013
11/13

by
J. D. Huba

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Topic: Maths

Source: http://www.flooved.com/reader/2984

114
114

Nov 14, 2013
11/13

by
Lawrence Evans;Mr. J. Edward Ladenburger

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Conservative forces. In general the work done by a force depends on the path taken from the initial position to the �nal one, as well as on the location of those points. But, as we have seen, there are some forces for which the work depends only on the endpoints, not on the path. These are called conservative forces.

Topic: Maths

Source: http://www.flooved.com/reader/2885

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457

Nov 14, 2013
11/13

by
Charlie Zender

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This document describes mathematical and computational considerations pertaining to radiative transfer processes and radiative transfer models of the Earth system. Our approach is to presenta detailed derivation of the tools of radiative transfer needed to predict the radiative quantities (irradiance, mean intensity, and heating rates) which drive climate. In so doing we begin with discussion of the intensity �eld which is the quantity most often measured by satellite remote sensing...

Topic: Maths

Source: http://www.flooved.com/reader/3325

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170

Nov 14, 2013
11/13

by
Gilbert Strang

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Here is another good ordering, di_erent from minimum degree. Graphs or meshes are often separated into disjoint pieces by a cut. The cut goes through a small number of nodes or meshpoints (a separator). It is a good idea to number the nodes in the separator last. Elimination is relatively fast for the disjoint pieces P and Q. It only slows down at the end, for the (smaller) separator S.

Topic: Maths

Source: http://www.flooved.com/reader/1698

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105

Nov 14, 2013
11/13

by
Elizabeth Stanway

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Objectives: (1) To recap some basic aspects of SR (2) To introduce important notation.

Topic: Maths

Source: http://www.flooved.com/reader/3123

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661

Nov 14, 2013
11/13

by
Max Tegmark

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Topics: Key concept summary � Summary of useful metrics � Special relativity concept summary: Space and time uni�ed into 4D spacetime. � Analogous uni�cation for other 4-vectors (momentum+energy, etc.). � Lorentz transform relates 4-vectors in di_erent inertial frames. Ex_ample: fast moving clocks are slower, shorter and heavier. E = mc2 . Example: nuclear power. � General relativity concept summary: Spacetime is not static but dynamic, globally expanding and locally � curving...

Topic: Maths

Source: http://www.flooved.com/reader/3107

132
132

Nov 14, 2013
11/13

by
Nikos Drakos

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These notes cover the development of the current scienti�c concepts of space and time through history, emphasizing the newest developments and ideas.The presentation will be non-mathematical: the concepts will be introduced and explained, but no real calculations will be performed. The various concepts will be introduced in a historical order (whenever possible), this provides a measure of understanding as to how the ideas on which the modern theory of space and time is based were developed....

Topic: Maths

Source: http://www.flooved.com/reader/2869

149
149

Nov 14, 2013
11/13

by
Mr. Travis Byington;Lawrence Evans;Mr. Ryan Magee;Hao Zhang

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Overview - The discovery of radioactivity in 1896 caused a shock among chemists, because it suggested that the atom is not the eternal, immutable object they assumed it to be. This became even clearer within a few years, when radioactive process were studied carefully and it was shown that, in some of them, existing elements in the sample under study disappeared and were replaced by others that had not previously been there. ...

Topic: Maths

Source: http://www.flooved.com/reader/2913

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113

Nov 14, 2013
11/13

by
R. Victor Jones

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Our objective here is to formulate a general approach to the subject of wave propagation in anisotropic dielectrics which makes use of ideas familiar from other branches of mathematical physics -- viz. the �eigenvalue problem.�.18 For reasons that will soon become abundantly clear, treatments of �crystal optics� focus on the behavior of the dielectric displacement vector, r D (r r , _) rather than on the electric field vector.19 For non-magnetic dielectrics the components of the...

Topic: Maths

Source: http://www.flooved.com/reader/3001

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155

Nov 14, 2013
11/13

by
David Tong

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In this section we�ll explore a couple of phase transitions in some detail and extract some lessons that are common to all transitions.

Topic: Maths

Source: http://www.flooved.com/reader/3132

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156

Nov 14, 2013
11/13

by
Peter Dourmashkin

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So far we have introduced the concepts of kinematics to describe motion in one dimension; however we live in a multidimensional universe. In order to explore and describe motion in this universe, we begin by looking at examples of two-dimensional motion, of which there are many; planets orbiting a star in elliptical orbits or a projectile moving under the action of uniform gravitation are two common examples. We will now extend our definitions of position, velocity, and acceleration for an...

Topic: Maths

Source: http://www.flooved.com/reader/3308

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141

Nov 14, 2013
11/13

by
John Howard

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Topic: Maths

Source: http://www.flooved.com/reader/2700